粘性薄片中物体的多粒子迁移率和扩散张量
Many-particle mobility and diffusion tensors for objects in viscous sheets
摘要：
我们推导出一个流动性张量的许多圆柱形物体嵌入在一个粘性片。这个张量保证了粒子和力的任何配置的正耗散率，类似于三维粘性流体中球形粒子的Rotne-Prager-Yamakawa张量。我们测试我们的结果为一个环的径向驱动的粒子，展示了正定属性在所有的粒子密度。导出的张量可以用于布朗动力学模拟与流体动力学相互作用的蛋白质在生物膜和独立的液体膜中的夹杂物等系统。
英文摘要：
We derive a mobility tensor for many cylindrical objects embedded in a viscous sheet. This tensor guarantees a positive dissipation rate for any configuration of particles and forces, analogously to the Rotne-Prager-Yamakawa tensor for spherical particles in a three-dimensional viscous fluid. We test our result for a ring of radially driven particles, demonstrating the positive-definite property at all particle densities. The derived tensor can be utilized in Brownian Dynamics simulations with hydrodynamic interactions for such systems as proteins in biomembranes and inclusions in free-standing liquid films.
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